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_GER,_GERU,_GERC(3F)					  _GER,_GERU,_GERC(3F)


NAME    [Toc]    [Back]

     dger, sger, zgeru,	cgeru, zgerc, cgerc - BLAS Level Two   Rank 1
     Operation


FORTRAN	77 SYNOPSIS
     subroutine	dger( m, n, alpha, x, incx, y, incy, a,	lda )
	   integer	      m, n, lda, incx, incy
	   double precision   alpha
	   double precision   a( lda,*), x(*), y(*)

     subroutine	sger( m, n, alpha, x, incx, y, incy, a,	lda )
	   integer	      m, n, lda, incx, incy
	   real		      alpha
	   real		      a( lda,*), x(*), y(*)

     subroutine	zgeru( m, n, alpha, x, incx, y,	incy, a, lda )
	   integer	      m, n, lda, incx, incy
	   complex*16	      alpha
	   complex*16	      a( lda,*), x(*), y(*)

     subroutine	cgeru( m, n, alpha, x, incx, y,	incy, a, lda )
	   integer	      m, n, lda, incx, incy
	   complex	      alpha
	   complex	      a( lda,*), x(*), y(*)

     subroutine	zgerc( m, n, alpha, x, incx, y,	incy, a, lda )
	   integer	      m, n, lda, incx, incy
	   complex*16	      alpha
	   complex*16	      a( lda,*), x(*), y(*)

     subroutine	cgerc( m, n, alpha, x, incx, y,	incy, a, lda )
	   integer	      m, n, lda, incx, incy
	   complex	      alpha
	   complex	      a( lda,*), x(*), y(*)

C SYNOPSIS    [Toc]    [Back]

     void dger(	m, n, alpha, x,	incx, y, incy, a, lda )
	   Integer	      m, n, lda, incx, incy;
	   double	      alpha;
	   double	      (*a)[lda*n], (*x)[ n ], (*y)[ n ];

     void sger(	m, n, alpha, x,	incx, y, incy, a, lda )
	   Integer	      m, n, lda, incx, incy;
	   float	      alpha;
	   float	      (*a)[lda*n], (*x)[ n ], (*y)[ n ];

     void zgeru( m, n, alpha, x, incx, y, incy,	a, lda )
	   Integer	      m, n, lda, incx, incy;
	   Zomplex	      alpha;
	   Zomplex	      (*a)[lda*n], (*x)[ n ], (*y)[ n ];



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_GER,_GERU,_GERC(3F)					  _GER,_GERU,_GERC(3F)



     void cgeru( m, n, alpha, x, incx, y, incy,	a, lda )
	   Integer	      m, n, lda, incx, incy;
	   Complex	      alpha;
	   Complex	      (*a)[lda*n], (*x)[ n ], (*y)[ n ];

     void zherc( m, n, alpha, x, incx, y, incy,	a, lda )
	   Integer	      m, n, lda, incx, incy;
	   Zomplex	      alpha;
	   Zomplex	      (*a)[lda*n], (*x)[ n ], (*y)[ n ];

     void cgerc( m, n, alpha, x, incx, y, incy,	a, lda )
	   Integer	      m, n, lda, incx, incy;
	   Complex	      alpha;
	   Complex	      (*a)[lda*n], (*x)[ n ], (*y)[ n ];


DESCRIPTION    [Toc]    [Back]

     dger , sger , zheru and cgeru perform the rank 1 operation

	   A :=	alpha*x*y' + A,

     zgerc and cgerc perform the rank 1	operation

	   A :=	alpha*x*conjg( y' ) + A,

     where alpha is a scalar, x	is an m	element	vector,	y is an	n element
     vector and	A is an	m by n matrix.

PARAMETERS    [Toc]    [Back]

     m	     On	entry, m specifies the number of rows of the matrix A.	m must
	     be	at least zero.
	     Unchanged on exit.

     n	     On	entry, n specifies the number of columns of the	matrix A.  n
	     must be at	least zero.
	     Unchanged on exit.

     alpha   On	entry, alpha specifies the scalar alpha.
	     Unchanged on exit.

     x	     Array of size at least ( 1	+ ( m -	1 )*abs( incx )	). Before
	     entry, the	incremented array x must contain the m element vector
	     x.
	     Unchanged on exit.

     incx    On	entry, incx specifies the increment for	the elements of	x.
	     incx must not be zero.
	     Unchanged on exit.





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_GER,_GERU,_GERC(3F)					  _GER,_GERU,_GERC(3F)



     y	     Array of size at least ( 1	+ ( n -	1 )*abs( incy )	). Before
	     entry, the	incremented array y must contain the n element vector
	     y.
	     Unchanged on exit.

     incy    On	entry, incy specifies the increment for	the elements of	y.
	     incy must not be zero.
	     Unchanged on exit.

     a	     An	array containing the matrix A.

	     FORTRAN
	     Array of dimension	( lda, n ).

	     C
	     A pointer to an array of size lda*n.
	     See note below about array	storage	convention for C.

	     Before entry, the leading m by n part of the array	A must contain
	     the matrix	of coefficients.  On exit, A is	overwritten by the
	     updated matrix.

     lda     On	entry, lda specifies the first dimension of a as declared in
	     the calling (sub) program.	 lda must be at	least max( 1, m	).
	     Unchanged on exit.


C ARRAY	STORAGE	CONVENTION
       The matrices  are assumed  to be	stored in a  one dimensional C array
       in an analogous fashion as a Fortran array (column major). Therefore,
       the element  A(i+1,j)  of matrix	A  is stored  immediately  after the
       element	A(i,j),	while  A(i,j+1)	is lda	elements apart from  A(i,j).
       The element A(i,j) of the matrix	can be accessed	directly by reference
       to  a[ (j-1)*lda	+ (i-1)	].

AUTHORS    [Toc]    [Back]

	  Jack Dongarra, Argonne National Laboratory.
	  Iain Duff, AERE Harwell.
	  Jeremy Du Croz, Numerical Algorithms Group Ltd.
	  Sven Hammarling, Numerical Algorithms	Group Ltd.

TUNING    [Toc]    [Back]

	  Optimized and	parallelized for SGI R3000, R4x00 and R8000 platforms.


									PPPPaaaaggggeeee 3333
[ Back ]
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